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14195952 = 2433171933
BaseRepresentation
bin110110001001…
…110011110000
3222201020012000
4312021303300
512113232302
61224134000
7231443421
oct66116360
928636160
1014195952
1180166a1
124907300
132c30694
141c57648
1513a631c
hexd89cf0

14195952 has 80 divisors (see below), whose sum is σ = 43166880. Its totient is φ = 4451328.

The previous prime is 14195941. The next prime is 14195959. The reversal of 14195952 is 25959141.

14195952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14195959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6378 + ... + 8310.

It is an arithmetic number, because the mean of its divisors is an integer number (539586).

Almost surely, 214195952 is an apocalyptic number.

14195952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14195952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583440).

14195952 is an abundant number, since it is smaller than the sum of its proper divisors (28970928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14195952 is a wasteful number, since it uses less digits than its factorization.

14195952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 14195952 is about 3767.7515841679. The cubic root of 14195952 is about 242.1334782624.

The spelling of 14195952 in words is "fourteen million, one hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 1933 2448 3672 3866 5799 7344 7732 11598 15464 17397 23196 30928 32861 34794 46392 52191 65722 69588 92784 98583 104382 131444 139176 197166 208764 262888 278352 295749 394332 417528 525776 591498 788664 835056 887247 1182996 1577328 1774494 2365992 3548988 4731984 7097976 14195952